45977880 has 64 divisors (see below), whose sum is σ = 148548960. Its totient is φ = 11317248.

The previous prime is 45977857. The next prime is 45977881. The reversal of 45977880 is 8877954.

It is a super-2 number, since 2×45977880² = 4227930898588800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45977881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13177 + ... + 16296.

Almost surely, 2^45977880 is an apocalyptic number.

45977880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45977880 is an abundant number, since it is smaller than the sum of its proper divisors (102571080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45977880 is a wasteful number, since it uses less digits than its factorization.

45977880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29500 (or 29496 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 45977880 is about 6780.6990790036. The cubic root of 45977880 is about 358.2473452709.

The spelling of 45977880 in words is "forty-five million, nine hundred seventy-seven thousand, eight hundred eighty".